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Finding the Fourth Proportional to 47,361.78, 71,058.87 and 21,084.84

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Solution

The fourth proportional to 47,361.78, 71,058.87 and 21,084.84 is: 31,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,361.78 : 71,058.87 = 21,084.84 : x
  2. Step 2: Convert to fraction form
    47,361.78/71,058.87 = 21,084.84/x
  3. Step 3: Cross multiply
    47,361.78x = 71,058.87 × 21,084.84
  4. Step 4: Simplify right side
    47,361.78x = 1,498,264,904.53
  5. Step 5: Solve for x
    x = 1,498,264,904.53/47,361.78
  6. Step 6: Final answer
    x = 31,634.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.